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Finding the Third Proportional to 54,407 and 114,754

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Solution

The third proportional to 54,407 and 114,754 is: 242,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,407 : 114,754 = 114,754 : x
  2. Step 2: Convert to fraction form
    54,407/114,754 = 114,754/x
  3. Step 3: Cross multiply
    54,407x = 114,754 × 114,754
  4. Step 4: Simplify right side
    54,407x = 13,168,480,516
  5. Step 5: Solve for x
    x = 13,168,480,516/54,407
  6. Step 6: Final answer
    x = 242,036.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.